221110102201122 has 192 divisors, whose sum is σ = 528943948775424. Its totient is φ = 68985107170560.

The previous prime is 221110102201081. The next prime is 221110102201147. The reversal of 221110102201122 is 221102201011122.

221110102201122 is a `hidden beast` number, since 221 + 1 + 101 + 0 + 220 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221110102201095 and 221110102201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6165392163 + ... + 6165428025.

It is an arithmetic number, because the mean of its divisors is an integer number (2754916399872).

Almost surely, 2^{221110102201122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221110102201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264471974387712).

221110102201122 is an abundant number, since it is smaller than the sum of its proper divisors (307833846574302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221110102201122 is a wasteful number, since it uses less digits than its factorization.

221110102201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39995 (or 39983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221110102201122 its reverse (221102201011122), we get a palindrome (442212303212244).

The spelling of 221110102201122 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred two million, two hundred one thousand, one hundred twenty-two".